Publikation: Topological States and Adiabatic Pumping in Quasicrystals
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2012
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Physical Review Letters. American Physical Society (APS). 2012, 109(10), 106402. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.109.106402
Zusammenfassung
The unrelated discoveries of quasicrystals and topological insulators have in turn challenged prevailing paradigms in condensed-matter physics. We find a surprising connection between quasicrystals and topological phases of matter: (i) quasicrystals exhibit nontrivial topological properties and (ii) these properties are attributed to dimensions higher than that of the quasicrystal. Specifically, we show, both theoretically and experimentally, that one-dimensional quasicrystals are assigned two-dimensional Chern numbers and, respectively, exhibit topologically protected boundary states equivalent to the edge states of a two-dimensional quantum Hall system. We harness the topological nature of these states to adiabatically pump light across the quasicrystal. We generalize our results to higher-dimensional systems and other topological indices. Hence, quasicrystals offer a new platform for the study of topological phases while their topology may better explain their surface properties.
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KRAUS, Yaacov E., Yoav LAHINI, Zohar RINGEL, Mor VERBIN, Oded ZILBERBERG, 2012. Topological States and Adiabatic Pumping in Quasicrystals. In: Physical Review Letters. American Physical Society (APS). 2012, 109(10), 106402. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.109.106402BibTex
@article{Kraus2012-09-07Topol-54918,
year={2012},
doi={10.1103/PhysRevLett.109.106402},
title={Topological States and Adiabatic Pumping in Quasicrystals},
number={10},
volume={109},
issn={0031-9007},
journal={Physical Review Letters},
author={Kraus, Yaacov E. and Lahini, Yoav and Ringel, Zohar and Verbin, Mor and Zilberberg, Oded},
note={Article Number: 106402}
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<dcterms:abstract xml:lang="eng">The unrelated discoveries of quasicrystals and topological insulators have in turn challenged prevailing paradigms in condensed-matter physics. We find a surprising connection between quasicrystals and topological phases of matter: (i) quasicrystals exhibit nontrivial topological properties and (ii) these properties are attributed to dimensions higher than that of the quasicrystal. Specifically, we show, both theoretically and experimentally, that one-dimensional quasicrystals are assigned two-dimensional Chern numbers and, respectively, exhibit topologically protected boundary states equivalent to the edge states of a two-dimensional quantum Hall system. We harness the topological nature of these states to adiabatically pump light across the quasicrystal. We generalize our results to higher-dimensional systems and other topological indices. Hence, quasicrystals offer a new platform for the study of topological phases while their topology may better explain their surface properties.</dcterms:abstract>
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